Atkin-Lehner |
2- 3+ 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
50568p |
Isogeny class |
Conductor |
50568 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
52800 |
Modular degree for the optimal curve |
Δ |
-15540962304 = -1 · 210 · 3 · 76 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 3 7- 3 -1 -4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5504,159132] |
[a1,a2,a3,a4,a6] |
j |
-153091012/129 |
j-invariant |
L |
2.4676708159692 |
L(r)(E,1)/r! |
Ω |
1.2338354079187 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101136o1 1032c1 |
Quadratic twists by: -4 -7 |